MPM(Multi-Process-Model)1987 年誕生於台灣,是一套培養數學思考力的課程:不背公式、不死刷題,讓孩子真正理解、學會自己想。夢想家是花蓮市美崙的文理補習班,也是 MPM 數學美崙分校,學生屢次在全國數學競賽中獲獎。MPM (Multi-Process-Model) was born in Taiwan in 1987: a maths programme that builds real thinking instead of formula memorising and endless drills. Dreamer is a tutoring school in Meilun, Hualien, and the local MPM Math branch. Our students regularly win awards in national math competitions.
同一題,你能想出幾種方法?One question — how many ways can you solve it?
A一個一個加Add one by one
B頭尾配對Pair the ends
C拼成長方形Build a rectangle
思考力數學Thinking math
全國競賽獲獎Award winners
多程序・多模式思考Multi-Process-Model
認識 MPMAbout MPM
什麼是 MPM 數學?What is MPM Math?
MPM 是 Multi-Process-Model 的縮寫,由「多程序推理」與「多模式思考」兩大理念組成。它不是教孩子背更多公式,而是教孩子怎麼思考。MPM stands for Multi-Process-Model, built on two ideas: multi-process reasoning and multi-model thinking. It doesn't teach children more formulas; it teaches them how to think.
Multi-Process
多程序推理Multi-step reasoning
把問題拆成一個個步驟,有條理地推理出答案。孩子學到的不只是答案,而是找到答案的過程。Break a problem into clear steps and reason your way to the answer. Children learn the process, not just the result.
Multi-Model
多模式思考Seeing it many ways
用算式、圖形、教具等不同方式看同一個問題,找出最適合自己的解法,遇到沒看過的題目也不慌。Look at one problem through numbers, pictures and hands-on materials, find the approach that works for you, and stay calm when a question is new.
MPM 的起點Where MPM began
1987
一位爸爸的書桌A father's desk
台大電機系畢業的張振昌,發現讀小學的女兒在外補習的題目太過機械化,只剩數字計算,於是親自為女兒編寫數學教材。Chang Chen-chang, a National Taiwan University electrical engineering graduate, found his daughter's tutoring worksheets too mechanical, nothing but calculations. So he wrote maths materials for her himself.
口耳相傳Word of mouth
從一份教材到一套系統From worksheets to a system
親友紛紛詢問,教材一路發展成完整的 MPM 數學課程,並建立起全台連鎖教室。Friends and family asked for the materials, which grew into the complete MPM curriculum and a chain of classrooms across Taiwan.
今天Today
全台約千間教室About 1,000 classrooms
總部設有專職教材研發團隊,全台約一千間教室、一千五百位老師,陪伴孩子從 2 歲學到國中。A dedicated curriculum team at headquarters supports about 1,000 classrooms and 1,500 teachers across Taiwan, teaching children from age 2 through junior high.
MPM 和一般數學補習,哪裡不一樣?How is MPM different?
一般數學補習Typical tutoring
MPM 數學MPM Math
學習重點Focus
背公式、套解法Memorise formulas, apply methods
理解觀念、自己推理Understand concepts, reason it out
解題方式Solving
一種標準解法One standard method
一題多解,靈活思考Many methods, flexible thinking
老師角色Teacher
站在台上講解Lectures from the front
在旁提問、引導Guides with questions
學習進度Pace
全班同一進度Whole class, same pace
入學檢測,個人化進度Entry assessment, individual pace
學習材料Materials
紙筆計算為主Mostly pencil and paper
96 種教具,動手操作96 kinds of hands-on tools
MPM 課堂怎麼上?Inside an MPM class
01
引導式提問Guided, not told
老師不直接給答案,而是用問題一步步引導,讓孩子自己找出解法。Teachers don't hand out answers. They ask the right questions so children discover the solution themselves.
02
一題多解Many ways to solve
鼓勵孩子用不同方法思考同一個問題,培養靈活、不怕難題的數學腦。Children explore different routes to the same answer, growing a flexible mind that isn't afraid of hard problems.
03
教具操作,具體學習Hands-on materials
透過教具把抽象的數學概念,變成看得見、摸得到的真實經驗。Manipulatives turn abstract concepts into something children can see, touch and truly grasp.
04
個人化進度A pace that fits
入學前先做檢測,找出最適合的起點;每個孩子都有屬於自己的學習路徑。An entry assessment finds the right starting point, so every child follows a learning path made for them.
課堂上的一題A question from class
1 加到 10, 三種想法Adding 1 to 10, three ways
答案都是 55,但每一種想法都在鍛鍊不同的能力。這就是 MPM 的課堂——重點不只是答對,而是「怎麼想」。Every route gives 55, but each one trains a different skill. That's an MPM classroom: it's not just about the right answer, it's about how you think.
想法 AWay A
一個一個加起來:Add them one at a time: 1+2+3+…+10 = 55 最直覺,培養計算的耐心與準確。The intuitive way — builds accuracy and patience.
想法 BWay B
頭尾配對,每組都是 11:Pair first and last — each pair makes 11: (1+10)+(2+9)+… = 5 × 11 = 55 發現規律,化繁為簡。Spotting patterns makes big problems small.
想法 CWay C
把階梯排兩份,拼成 10 × 11 的長方形,再除以 2:Make two staircases, fit them into a 10 × 11 rectangle, then halve it: 10 × 11 ÷ 2 = 55
用圖形「看見」數學,是 MPM 最迷人的地方。Seeing maths as shapes is what makes MPM click.
MPM 的成效Proven results
MPM 有多成功?How successful is MPM?
從 1987 年一份寫給女兒的教材開始,MPM 發展成全台約千間教室的數學品牌,在台灣補教市場佔有一席之地。What began in 1987 as worksheets for one little girl has grown into a maths brand with about 1,000 classrooms and a firm place in Taiwan's education market.
近 40 年~40 years1987 年創立至今teaching since 1987
約 1,000 間~1,000全台 MPM 教室MPM classrooms in Taiwan
1,500 位1,500MPM 老師MPM teachers
2 歲–國中Age 2+完整數學學程all the way to junior high
*資料來源:聯合新聞網、味全文化教育基金會。* Sources: United Daily News; Wei Chuan Cultural & Educational Foundation.
學校老師也肯定Respected by educators
MPM 教材的水準,受到許多學校老師與補教同業的認可。Many school teachers and fellow educators recognise the quality of MPM's materials.
全國競賽的常客Regulars at national contests
全台各地的 MPM 學生長年參加國際盃數學競賽等全國賽事,屢獲優等、特優佳績。MPM students across Taiwan have long entered national contests such as the International Cup Math Competition, regularly earning top awards.
不為考試,為思考Built for thinking, not cramming
MPM 不是短期衝刺分數的課程,而是建立穩定的數學思考方式,這正是面對競賽難題時最需要的能力。MPM isn't about short-term score boosts. It builds a steady way of thinking, which is exactly what hard competition problems demand.
美崙分校榮譽榜Meilun Branch Hall of Fame
在夢想家,MPM 的思考力帶著孩子走上全國數學競賽的舞台。At Dreamer, MPM thinking takes our students all the way to national math competitions.
努力,才能讓人看見。Hard work is what gets you seen.
課程介紹Programs
放學後,來夢想家After school, come to Dreamer
從國小 MPM 數學、國小英文,到國中英文、數學、理化與英檢班,給孩子一個安心、專注又充滿成就感的地方。From elementary MPM Math and English to junior high English, maths and science and GEPT prep: a safe, focused place where children feel proud of what they achieve.
國小・數學ELEMENTARY · MATH
國小MPM數學Elementary MPM Math
以 MPM 教材與教具,透過引導式提問與一題多解,讓孩子真正理解數學、學會自己思考。MPM materials and hands-on tools, guided questioning and multiple solutions help children truly understand maths and think for themselves.
課程目標GOALS
入學檢測,找到最適合的起點Entry assessment to find the right starting point
個人化進度,老師一對一引導Individual pacing with one-to-one guidance
競賽題型挑戰,培養高階思考Competition-style challenges for advanced thinking
歡迎來到夢想家英文大家庭!陪伴孩子踏出英語學習的第一步,透過豐富有趣的互動、歌謠與遊戲,在自然無壓力的環境下喜歡上英語。Welcome to the Dreamer English family! Through lively activities, songs and games, children take their first steps in English and come to love it in a relaxed, pressure-free setting.
課程目標GOALS
系統化學習,單字與文法全方位奠基Systematic learning builds a solid base in vocabulary and grammar
專業啟蒙,無痛銜接幼兒美語Expert first steps that carry on smoothly from kindergarten English
啟發式教學,懂孩子的語言,轉化複雜概念,孩子秒懂吸收Inquiry-based teaching in children's own language turns complex ideas into ones they grasp right away
從國一銜接到會考,一步步把英文學紮實。跟上學校進度鞏固段考,同步培養會考需要的閱讀理解與聽力,讓英文成為孩子的拿分科目。From the first day of Grade 7 through to the national exam, we build English step by step: keeping pace with school for strong exam results while training the reading and listening skills the 會考 demands, so English becomes a subject kids score in.
課程目標GOALS
文法系統化整理,時態與句型一次理清Grammar organised into a clear system, so tenses and sentence patterns finally click
單字、閱讀、聽力並進,熟悉會考題型Vocabulary, reading and listening together, with practice in 會考 question types
段考前重點複習,錯題訂正不留觀念漏洞Focused review before school exams, and mistake correction that closes every gap
國中數學同樣採用 MPM 教材與引導式教學。國中數學觀念環環相扣,一個沒弄懂,後面就越學越吃力,所以我們先帶孩子理解「為什麼」,再透過分類題型練習,把會的題目穩穩拿分。Junior high maths uses MPM materials and guided teaching too. It builds on itself, so one missed idea makes everything after it harder: we start with why, then practise by question type, so kids reliably score on what they know.
課程目標GOALS
MPM 引導式教學,理解觀念、完整寫出解題過程MPM guided teaching: understand the concepts and write out full working for written exam questions
題型分類練習,掌握段考與會考常考重點Practice by question type, covering what school exams and the 會考 test most
錯題分析與訂正,找出弱點、穩定提升成績Mistake analysis and correction to find weak spots and raise scores steadily
從觀念打底,建立真正的理化解題力!Real problem-solving power in science, built on solid concepts.
國二、國三理化內容逐漸增加,若只靠公式記憶,遇到題目變化就容易卡關。本課程以「觀念理解」為核心,搭配重點整理、題型解析與實際演練,協助學生建立完整的理化架構。Physics and chemistry content grows quickly in Grades 8 and 9, and students who rely on memorised formulas get stuck as soon as a question changes. This course puts understanding first, with key-point summaries, question-type analysis and real practice, so students build a complete picture of the subject.
課程目標GOALS
觀念建立|釐清核心概念,打好學習基礎Concepts: clarify the core ideas and lay a solid foundation
題型解析|掌握常見題型與解題思路Question types: master common question types and how to approach them
實戰演練|透過練習找出問題,提升解題熟練度Practice: find weak spots through practice and solve problems more fluently
錯題整理|針對容易失分的觀念加強複習Mistake review: extra review on the concepts where marks are most often lost
讓學生不只是「會算」,更能真正理解題目、掌握方法,穩定提升理化表現。So students don't just calculate: they truly understand each question, master the methods and raise their science results steadily.
給孩子的英文能力一張看得見的證明。針對全民英檢(GEPT)題型,聽、說、讀、寫四項全面準備,從熟悉題型、模擬試題本演練,到老師逐題檢討,讓孩子自信走進考場。A certificate that shows what your child's English can do. Built around the GEPT (全民英檢) format, we prepare listening, speaking, reading and writing, from learning the question types to working through mock test books and reviewing every answer with a teacher, so kids walk into the exam confident.
課程目標GOALS
聽說讀寫四項全面準備,依程度規劃學習All four skills covered, with a plan matched to each child's level
熟悉題型與答題技巧,考試不再緊張Know the question types and test strategies, so exam day feels familiar
模擬試題本實戰演練,老師逐題講解錯誤原因Practise with GEPT mock test books, then the teacher explains why each wrong answer was wrong
MPM 和一般的數學補習有什麼不同?How is MPM different from regular maths tutoring?
一般補習多是老師講解、學生大量練習;MPM 由老師提問引導,搭配教具與一題多解,讓孩子理解「為什麼」,並依每個人的程度安排進度。Regular tutoring is usually a teacher explaining and students drilling. In MPM, teachers guide with questions and use hands-on materials and multiple methods so children understand why, and every child works at their own level.
MPM 數學適合什麼樣的孩子?Who is MPM Math for?
想打好數學基礎的孩子,和想挑戰競賽的孩子都適合。MPM 依照每個孩子的程度安排進度,不會跟不上,也不會等別人。Both children who need a solid foundation and those ready for competition challenges. MPM sets each child's pace individually, so no one falls behind or waits around.
孩子數學比較弱,也可以上嗎?My child finds maths hard. Can they still join?
當然可以。入學前會先做程度檢測,從孩子最適合的地方開始,一步步建立理解和信心。Absolutely. An entry assessment finds the right starting point, and we build understanding and confidence step by step.
可以先試聽或參觀嗎?Can we try a class or visit first?
非常歡迎!國中理化課程歡迎預約試聽;也歡迎來電預約參觀時間,我們會為您介紹環境與課程。Absolutely. Our junior high science class welcomes trial bookings, and you can call to arrange a visit. We'll show you around and explain our programs.
在花蓮找補習班,為什麼選擇夢想家?Why choose Dreamer among Hualien's tutoring schools?
夢想家位在花蓮市美崙,是 MPM 數學美崙分校,開設國小MPM數學、國小英文、國中英文、國中數學、國中理化與英檢班。Dreamer is in Meilun, Hualien, and is the local MPM Math branch. We teach elementary MPM Math and English, junior high English, maths and science, and GEPT prep.
聯絡我們Contact
花蓮美崙,歡迎來夢想家走走Come and say hello in Meilun, Hualien
有任何課程問題,歡迎來電、寫信或直接來找我們。Questions about our programs? Call, email, or simply drop by.